Question

2 6.5.4 practice 2 explain how you could find the difference of 1 and 0.1978.

Explanation:

Step1: Rewrite 1 as decimal

$1 = 1.0000$

Step2: Align decimal points

$$\begin{align*} 1.0000\\ -0.1978\\ \hline \end{align*}$$

Step3: Subtract digit by digit

Starting from the rightmost digit, borrow as needed:

• $0-8$: borrow, $10-8=2$
• $0-7$ (after borrow): borrow, $9-7=2$
• $0-9$ (after borrow): borrow, $9-9=0$
• $0-1$ (after borrow): borrow, $10-1=9$
• The units digit becomes $0$ after borrowing

$$\begin{align*} 1.0000\\ -0.1978\\ \hline 0.8022 \end{align*}$$

Answer:

Rewrite 1 as 1.0000 to match the decimal places of 0.1978, align the decimal points, then subtract each digit from right to left, borrowing when necessary. The final difference is $0.8022$.